The Weighted Ambrosio - Tortorelli Approximation Scheme
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🧮 math.AP
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omegaapproximationschemeweightedambrosioambrosio-tortorelliconvergesdepending
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The Ambrosio-Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it {\Gamma}-converges to a Mumford-Shah image segmentation functional depending on the weight $\omega dx$, where $\omega\in SBV(\Omega)$, and on its value $\omega^-$.
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